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Finding the Fourth Proportional to 186,744.36, 257,710.82 and 101,864.52

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Solution

The fourth proportional to 186,744.36, 257,710.82 and 101,864.52 is: 140,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,744.36 : 257,710.82 = 101,864.52 : x
  2. Step 2: Convert to fraction form
    186,744.36/257,710.82 = 101,864.52/x
  3. Step 3: Cross multiply
    186,744.36x = 257,710.82 × 101,864.52
  4. Step 4: Simplify right side
    186,744.36x = 26,251,588,978.11
  5. Step 5: Solve for x
    x = 26,251,588,978.11/186,744.36
  6. Step 6: Final answer
    x = 140,575.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.